# Chapter 8 - Sequences and Infinite Series - 8.2 Sequences - 8.2 Exercises: 4

$a_n = (-1)^n = \{-1,1,-1,1,...\}$

#### Work Step by Step

$a_n = (-1)^n$ is bounded by the values $-1$ and $1$, since the terms are either $-1$ or $1$. The limit doesn't exist because the terms do not approach one value. They simply alternate between the values $-1$ and $1$.

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